# Questions on Algebra: Probability and statistics answered by real tutors!

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 524874: Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29). Round your answer to at least three decimal places. Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t<= c) = 0.05. Round your answer to at least three decimal places. P(-1.29 < t < 1.29) = c = Click here to see answer by stanbon(57377)

 Question 524814: normally distributed with mean u=90 and standard deviation sqirt= 4 find the indicated prob ability. P(x<84)= Click here to see answer by stanbon(57377)

 Question 524959: Before the beginning of all professional sporting games, Players are announced. How many different ways can they be arrange 5 starting basketball players? Click here to see answer by Alan3354(30993)
 Question 524959: Before the beginning of all professional sporting games, Players are announced. How many different ways can they be arrange 5 starting basketball players? Click here to see answer by bartzy11(1)

 Question 524987: Two cards are drawn in succession and without replacement from an ordinary deck of 52 cards. a. find the probability of both cards being kings b. find the probability that none of the cards are kings. Click here to see answer by solver91311(16897)

 Question 525062: Flip a fair coin 4 times. What is the probability of observong exactly three heads? *Should I use binomial distribution or HHH method? Click here to see answer by stanbon(57377)

 Question 525390: I need some help with these questions that I do not understand. Please help! A) Find the binomial probability P(x=5), where (n=13) and p=0.70. B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. C) How would you find the normal approximation to the binomial probability P(x=5) in part A? Please show how you would caculate u ando in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the caculations. Click here to see answer by stanbon(57377)

 Question 525310: The Middletown Police department gives a standardized test to potential captains. The mean score is 170 with a standard deviation of 20 points. A score of 200 points is required to pass. Approximately what percentage of those who take the test will pass? Click here to see answer by stanbon(57377)

 Question 525315: The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these cheese wedges is selected. What is the probability that their average weight is less than 8oz? Click here to see answer by stanbon(57377)

 Question 525507: A survey by a college revealed 60 percent of its students made C or more in Introduction to Algebra course last year. Two students are selected at random. What is the probability both made C or more last year? Click here to see answer by jim_thompson5910(28595)

 Question 525638: A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than . A random sample of monthly rents for apartments on the east side has a mean of , with a standard deviation of . If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the level of significance, that is less than ? Click here to see answer by stanbon(57377)

 Question 525639: A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than \$750 . A random sample of 16 monthly rents for apartments on the east side has a mean of \$748 , with a standard deviation of \$22. If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that is less than \$750 ? Click here to see answer by stanbon(57377)

 Question 525593: in a pizza restaurant, 95% of the customers order pizza, 65% of the customers order pizza and a salad. Given that a customer ordered pizza, what is the probability that he/she order salad? Click here to see answer by stanbon(57377)

 Question 525651: 1. Show all work. A disc jockey has 8 songs to play. Six are slow songs, and two are fast songs. Each song is to be played only once. In how many ways can the disc jockey play the 8 songs if The songs can be played in any order. The first song must be a slow song and the last song must be a slow song. The first two songs must be fast songs. 2.Show all work. Mary purchased a package of 9 different plants, but she only needed 6 plants for planting. In how many ways can she select the 6 plants from the package to be planted? 3. A mini license plate for a toy car must consist of three numbers followed by a letter. Each number must be a 3, 6, or 9. Repetition of digits is NOT permitted. Each letter must be an A, B or C. Use the counting principle to determine the number of points in the sample space. Construct a tree diagram to represent this situation. List the sample space. Determine the exact probability of creating a mini license plate with a B. Give solution exactly in reduced fraction form. Click here to see answer by solver91311(16897)

 Question 525655: what times what gives you 9810 but adds or subtracts to give you 19 Click here to see answer by Alan3354(30993)

 Question 525861: wondering why my question has not been answered cause my homework is due tomorrow? Click here to see answer by Alan3354(30993)

 Question 525979: In San Francisco 30% of workers take public transportation daily ( USA Today, Decmber 21, 2005). a. In a sample of 10 workers, what is the probability that exactly three workers take public transportation daily? b. In a sample of 10 workers, what is the probability that at least three workers take public transportation daily? Click here to see answer by edjones(7569)

 Question 526066: the probability the sum of the numbers shown on the dice is a 7 0r 8 ? Click here to see answer by richard1234(5390)
 Question 526066: the probability the sum of the numbers shown on the dice is a 7 0r 8 ? Click here to see answer by edjones(7569)

 Question 526086: How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6 and 7 if repetition of the digits is not allowed? For example, there can not be 2 7’s Click here to see answer by edjones(7569)

 Question 526085: The future United State lottery will involve the random selection of six (6) different numbers between 1 and 22. If you select one six number combination, what is the probability that your single lottery ticket will win the lottery? Click here to see answer by edjones(7569)

 Question 526080: Mrs. Donovan is the coach of a middle school golf team that has 10 golfers. There are 2 sixth graders, 4 seventh graders, and 4 eighth graders on the team. Mrs. Donovan will randomly select two team captains. What is the probability that both captains will be eighth graders? Click here to see answer by edjones(7569)

 Question 526055: In a Nevada casino, when you place a \$1 bet on the "pass line", in the game of craps, there is a 244/495 probability that you will win \$1 and the complementary probability that you will lose \$1. What is your expected value; i.e., in the long run, how much do you lose for each dollar bet? Click here to see answer by edjones(7569)

 Question 526087: Police Department reports that the probabilities that 0, 1, 2, 3 and 4 car thefts will be reported in any given day are 0.091, 0.218, 0.261, 0.209 and 0.125, respectively. Determine if this is a probability distribution. If not, identify the requirement that is not satisfied Click here to see answer by edjones(7569)

 Question 526260: Seven monkeys are arranged in a row for a poster picture. How many ways can this be arranged? Click here to see answer by Alan3354(30993)

 Question 526269: Please help me solve this problem: Suppose thet IQ scores have a bell-shaped distribution with a mean of 101 and a standard deviation of 15. Using the empirical rule, what percentage of IQ scores are between 86 and 116? Click here to see answer by solver91311(16897)

 Question 526262: Two-digit numbers are be made up the digits 2, 3, and 4. How many such numbers can be made if repetition of digits is allowed? Click here to see answer by solver91311(16897)

 Question 526308: The weight of a medium size orange selected at random from a large bin of oranges at the local supermarket is a random variable with mean m = 12 ounces and standard deviation s = 1.2 ounces. Suppose we independently pick two oranges at random from the bin. The expected value of the sum of the weights of the two oranges, in pounds (1 pound = 16 ounces) is: Click here to see answer by stanbon(57377)

 Question 526309: As a promotion, a certain car dealer gave away a free watch to anyone who visited his dealership and test drove a car. But 5% of the watches were defective. a. Find the probability that among 50 such watches selected at random, exactly one is defective. b. Find the probability that among 50 such watches selected at random, none is defective. c. Find the probability that among 50 such watches selected at random, at least one is defective. Click here to see answer by stanbon(57377)

 Question 526304: The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT) (The World Almanac, 2009): Assume that the population standard deviation on each part of the test is σ = 100. What is the probability a random sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the Mathematics part of the test? Round your answer to four decimal places. What is the probability a random sample of 100 test takers will provide a sample mean test score within 10 of the population mean of 494 on the writing part of the test? Round your answer to three decimal places. Click here to see answer by stanbon(57377)

 Question 526332: A manager of a grocery store took a random sample of 100 customers. Their average checkout time is 3 minutes. The standard deviation of the population is 2 minutes. What is the probability that the average time is greater than 3.6 minutes? Less than 3.4 minutes? I would like to identify a z score for each of the questions, but I don't have a population mean? Can I solve this without that number? Click here to see answer by stanbon(57377)
 Question 526332: A manager of a grocery store took a random sample of 100 customers. Their average checkout time is 3 minutes. The standard deviation of the population is 2 minutes. What is the probability that the average time is greater than 3.6 minutes? Less than 3.4 minutes? I would like to identify a z score for each of the questions, but I don't have a population mean? Can I solve this without that number? Click here to see answer by solver91311(16897)

 Question 526315: Richard has been given a 6 question multiple choice quiz in hi history clad. Each question has f e answer of which only one is correct. Since Richard has not attended the class recently he doesn't know any of the answers. Assuming that Richard guesses on all 6 questions find the probability that he will answer all the questions right. Round your answer to nearest hundredth Click here to see answer by stanbon(57377)

 Question 526355: The average math SAT score is 513 with a standard deviation of 113. A particular high school claims that its students have unusually high math SAT scores.A random sample of 45 students from this school was selected and the mean math SAT score was 557. Is the high school justified in its claim? Click here to see answer by stanbon(57377)

 Question 526401: A binomial random variable has a mean equal to 181 and a standard deviation of 6. Find the value of n. Find the value of p Click here to see answer by stanbon(57377)

 Question 526489: A college believes that 28% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who have parents who have remarried to within 6 percentage points with 95% confidence? Click here to see answer by stanbon(57377)

 Question 526459: What is the probability that out of 23 numbers that exactly two people will choose an even number? The number chosen by each person does not have to be the same number,just one of the 11 even numbers. Out of the 23 numbers, 11 are even and 12 are odd. 11 even are 2,4,6,8,10,12,14,16,18,20 and 22. Click here to see answer by stanbon(57377)

 Question 526469: As a condition of employment, Fashion Industries applicants must pass a drug test. Of the last 220 applicants 14 failed the test. Develop a 99% confidence interval for the portion of applicants that fail the test. Would it be reasonable to conclude that more than 10% of the applicants are now failing the test? Click here to see answer by stanbon(57377)

 Question 526538: 4. Complete the following if the horse Seabiscuit travels at a constant speed of 40 miles per hour: a. How many seconds will it take Seabiscuit to run a race of 6 furlongs? (NOTE: 1 furlong = ) b. Express Seabiscuit’s rate in feet per second. Click here to see answer by ankor@dixie-net.com(15657)

 Question 526542: 10. Tova used to spend 40 minutes per day jogging and covered a distance equivalent to the distance from Rue de Vache to LaPointe 73 times during the year. The distance is 20 miles. What is her speed in miles per hour? … Tova now spends 45 minutes per day jogging and has sped up 1 mile per hour. How many times would she run a distance equivalent to the distance from Rue de Vache to LaPointe? Click here to see answer by ankor@dixie-net.com(15657)

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